Open CASCADE Technology
7.4.0
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Describes a sphere. A sphere is defined by its radius and positioned in space with a coordinate system (a gp_Ax3 object). The origin of the coordinate system is the center of the sphere. This coordinate system is the "local coordinate system" of the sphere. Note: when a gp_Sphere sphere is converted into a Geom_SphericalSurface sphere, some implicit properties of its local coordinate system are used explicitly: More...
#include <gp_Sphere.hxx>
Public Member Functions | |
gp_Sphere () | |
Creates an indefinite sphere. More... | |
gp_Sphere (const gp_Ax3 &A3, const Standard_Real Radius) | |
Constructs a sphere with radius Radius, centered on the origin of A3. A3 is the local coordinate system of the sphere. Warnings : It is not forbidden to create a sphere with null radius. Raises ConstructionError if Radius < 0.0. More... | |
void | SetLocation (const gp_Pnt &Loc) |
Changes the center of the sphere. More... | |
void | SetPosition (const gp_Ax3 &A3) |
Changes the local coordinate system of the sphere. More... | |
void | SetRadius (const Standard_Real R) |
Assigns R the radius of the Sphere. Warnings : It is not forbidden to create a sphere with null radius. Raises ConstructionError if R < 0.0. More... | |
Standard_Real | Area () const |
Computes the aera of the sphere. More... | |
void | Coefficients (Standard_Real &A1, Standard_Real &A2, Standard_Real &A3, Standard_Real &B1, Standard_Real &B2, Standard_Real &B3, Standard_Real &C1, Standard_Real &C2, Standard_Real &C3, Standard_Real &D) const |
Computes the coefficients of the implicit equation of the quadric in the absolute cartesian coordinates system : A1.X**2 + A2.Y**2 + A3.Z**2 + 2.(B1.X.Y + B2.X.Z + B3.Y.Z) + 2.(C1.X + C2.Y + C3.Z) + D = 0.0. More... | |
void | UReverse () |
Reverses the U parametrization of the sphere reversing the YAxis. More... | |
void | VReverse () |
Reverses the V parametrization of the sphere reversing the ZAxis. More... | |
Standard_Boolean | Direct () const |
Returns true if the local coordinate system of this sphere is right-handed. More... | |
const gp_Pnt & | Location () const |
— Purpose ; Returns the center of the sphere. More... | |
const gp_Ax3 & | Position () const |
Returns the local coordinates system of the sphere. More... | |
Standard_Real | Radius () const |
Returns the radius of the sphere. More... | |
Standard_Real | Volume () const |
Computes the volume of the sphere. More... | |
gp_Ax1 | XAxis () const |
Returns the axis X of the sphere. More... | |
gp_Ax1 | YAxis () const |
Returns the axis Y of the sphere. More... | |
void | Mirror (const gp_Pnt &P) |
gp_Sphere | Mirrored (const gp_Pnt &P) const |
Performs the symmetrical transformation of a sphere with respect to the point P which is the center of the symmetry. More... | |
void | Mirror (const gp_Ax1 &A1) |
gp_Sphere | Mirrored (const gp_Ax1 &A1) const |
Performs the symmetrical transformation of a sphere with respect to an axis placement which is the axis of the symmetry. More... | |
void | Mirror (const gp_Ax2 &A2) |
gp_Sphere | Mirrored (const gp_Ax2 &A2) const |
Performs the symmetrical transformation of a sphere with respect to a plane. The axis placement A2 locates the plane of the of the symmetry : (Location, XDirection, YDirection). More... | |
void | Rotate (const gp_Ax1 &A1, const Standard_Real Ang) |
gp_Sphere | Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const |
Rotates a sphere. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians. More... | |
void | Scale (const gp_Pnt &P, const Standard_Real S) |
gp_Sphere | Scaled (const gp_Pnt &P, const Standard_Real S) const |
Scales a sphere. S is the scaling value. The absolute value of S is used to scale the sphere. More... | |
void | Transform (const gp_Trsf &T) |
gp_Sphere | Transformed (const gp_Trsf &T) const |
Transforms a sphere with the transformation T from class Trsf. More... | |
void | Translate (const gp_Vec &V) |
gp_Sphere | Translated (const gp_Vec &V) const |
Translates a sphere in the direction of the vector V. The magnitude of the translation is the vector's magnitude. More... | |
void | Translate (const gp_Pnt &P1, const gp_Pnt &P2) |
gp_Sphere | Translated (const gp_Pnt &P1, const gp_Pnt &P2) const |
Translates a sphere from the point P1 to the point P2. More... | |
Describes a sphere. A sphere is defined by its radius and positioned in space with a coordinate system (a gp_Ax3 object). The origin of the coordinate system is the center of the sphere. This coordinate system is the "local coordinate system" of the sphere. Note: when a gp_Sphere sphere is converted into a Geom_SphericalSurface sphere, some implicit properties of its local coordinate system are used explicitly:
gp_Sphere::gp_Sphere | ( | ) |
Creates an indefinite sphere.
gp_Sphere::gp_Sphere | ( | const gp_Ax3 & | A3, |
const Standard_Real | Radius | ||
) |
Constructs a sphere with radius Radius, centered on the origin of A3. A3 is the local coordinate system of the sphere. Warnings : It is not forbidden to create a sphere with null radius. Raises ConstructionError if Radius < 0.0.
Standard_Real gp_Sphere::Area | ( | ) | const |
Computes the aera of the sphere.
void gp_Sphere::Coefficients | ( | Standard_Real & | A1, |
Standard_Real & | A2, | ||
Standard_Real & | A3, | ||
Standard_Real & | B1, | ||
Standard_Real & | B2, | ||
Standard_Real & | B3, | ||
Standard_Real & | C1, | ||
Standard_Real & | C2, | ||
Standard_Real & | C3, | ||
Standard_Real & | D | ||
) | const |
Computes the coefficients of the implicit equation of the quadric in the absolute cartesian coordinates system : A1.X**2 + A2.Y**2 + A3.Z**2 + 2.(B1.X.Y + B2.X.Z + B3.Y.Z) + 2.(C1.X + C2.Y + C3.Z) + D = 0.0.
Standard_Boolean gp_Sphere::Direct | ( | ) | const |
Returns true if the local coordinate system of this sphere is right-handed.
const gp_Pnt& gp_Sphere::Location | ( | ) | const |
— Purpose ; Returns the center of the sphere.
void gp_Sphere::Mirror | ( | const gp_Pnt & | P | ) |
void gp_Sphere::Mirror | ( | const gp_Ax1 & | A1 | ) |
void gp_Sphere::Mirror | ( | const gp_Ax2 & | A2 | ) |
Performs the symmetrical transformation of a sphere with respect to the point P which is the center of the symmetry.
Performs the symmetrical transformation of a sphere with respect to an axis placement which is the axis of the symmetry.
Performs the symmetrical transformation of a sphere with respect to a plane. The axis placement A2 locates the plane of the of the symmetry : (Location, XDirection, YDirection).
const gp_Ax3& gp_Sphere::Position | ( | ) | const |
Returns the local coordinates system of the sphere.
Standard_Real gp_Sphere::Radius | ( | ) | const |
Returns the radius of the sphere.
void gp_Sphere::Rotate | ( | const gp_Ax1 & | A1, |
const Standard_Real | Ang | ||
) |
gp_Sphere gp_Sphere::Rotated | ( | const gp_Ax1 & | A1, |
const Standard_Real | Ang | ||
) | const |
Rotates a sphere. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians.
void gp_Sphere::Scale | ( | const gp_Pnt & | P, |
const Standard_Real | S | ||
) |
gp_Sphere gp_Sphere::Scaled | ( | const gp_Pnt & | P, |
const Standard_Real | S | ||
) | const |
Scales a sphere. S is the scaling value. The absolute value of S is used to scale the sphere.
void gp_Sphere::SetLocation | ( | const gp_Pnt & | Loc | ) |
Changes the center of the sphere.
void gp_Sphere::SetPosition | ( | const gp_Ax3 & | A3 | ) |
Changes the local coordinate system of the sphere.
void gp_Sphere::SetRadius | ( | const Standard_Real | R | ) |
Assigns R the radius of the Sphere. Warnings : It is not forbidden to create a sphere with null radius. Raises ConstructionError if R < 0.0.
void gp_Sphere::Transform | ( | const gp_Trsf & | T | ) |
Transforms a sphere with the transformation T from class Trsf.
void gp_Sphere::Translate | ( | const gp_Vec & | V | ) |
Translates a sphere in the direction of the vector V. The magnitude of the translation is the vector's magnitude.
Translates a sphere from the point P1 to the point P2.
void gp_Sphere::UReverse | ( | ) |
Reverses the U parametrization of the sphere reversing the YAxis.
Standard_Real gp_Sphere::Volume | ( | ) | const |
Computes the volume of the sphere.
void gp_Sphere::VReverse | ( | ) |
Reverses the V parametrization of the sphere reversing the ZAxis.
gp_Ax1 gp_Sphere::XAxis | ( | ) | const |
Returns the axis X of the sphere.
gp_Ax1 gp_Sphere::YAxis | ( | ) | const |
Returns the axis Y of the sphere.